Question 88
Let $ABCD$ be a parallelogram. The internal bisector of $\angle BAC$ meets segment $BC$ at $E$, while its external bisector meets line $CD$ at $F$. Let $M$ be the midpoint of $AE$.
Prove that lines $EF$ and $BM$ are parallel.
Prove that lines $EF$ and $BM$ are parallel.